Fibonacci quarterly, ISSN 0015-0517, 1963

Journal

2009, ISBN 9780195334548, xiv, 422

Like the intriguing Fibonacci and Lucas numbers, Catalan numbers are also ubiquitous. "They have the same delightful propensity for popping up unexpectedly,...

Catalan numbers (Mathematics) | Mathematics | Euler's triangulation problem | Pascal's triangle | Pascal's identity | Lucas numbers | Catalan sequence | Parenthesization problem | Catalan numbers | Martin gardner | Fibonacci numbers

Catalan numbers (Mathematics) | Mathematics | Euler's triangulation problem | Pascal's triangle | Pascal's identity | Lucas numbers | Catalan sequence | Parenthesization problem | Catalan numbers | Martin gardner | Fibonacci numbers

Book

2012, Graduate studies in mathematics, ISBN 9780821875773, Volume 134, xviii, 414

Book

2011, First U.S. edition., ISBN 0802778127, viii, 183 pages, 8 unnumbered pages of plates

"The untold story of Leonardo of Pisa, the medieval mathematician who introduced Arabic numbers to the West and helped launch the modern era."--P. [2] of dust...

Italy History | Fibonacci, Leonardo, approximately 1170-approximately 1240 | Fibonacci numbers | Mathematics in nature | Mathematicians

Italy History | Fibonacci, Leonardo, approximately 1170-approximately 1240 | Fibonacci numbers | Mathematics in nature | Mathematicians

Book

AIP Conference Proceedings, ISSN 0094-243X, 07/2018, Volume 1991, Issue 1

In [1], Faco and Marques gave the conditions that even perfect numbers belonging to k-generalized Fibonacci numbers. In this paper, we present alternative...

Fibonacci numbers

Fibonacci numbers

Journal Article

2011, ISBN 1408824442, viii, 183

Book

Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 10/2018, Volume 115, pp. 1 - 6

•In this paper, dual-complex k-Fibonacci numbers were defined and some algebraic properties of dual-complex k-Fibonacci numbers which connected with...

Dual number | K-Fibonacci number | Dual-complex k-Fibonacci number | Dual-complex number | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | LUCAS QUATERNIONS | SEQUENCE | PHYSICS, MATHEMATICAL

Dual number | K-Fibonacci number | Dual-complex k-Fibonacci number | Dual-complex number | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | LUCAS QUATERNIONS | SEQUENCE | PHYSICS, MATHEMATICAL

Journal Article

Monatshefte für Mathematik, ISSN 0026-9255, 12/2018, Volume 187, Issue 4, pp. 635 - 664

For an integer $$ k \ge 2 $$ k≥2 , let $$ \{F^{(k)}_{n} \}_{n\ge 0}$$ {Fn(k)}n≥0 be the k–generalized Fibonacci sequence which starts with $$ 0, \ldots , 0, 1...

11B39 | 11J86 | Pillai’s problem | Reduction method | Diophantine equations | 11D61 | Mathematics, general | Mathematics | Generalized Fibonacci sequence | 11D45 | MATHEMATICS | Pillai's problem | Mathematics - Number Theory

11B39 | 11J86 | Pillai’s problem | Reduction method | Diophantine equations | 11D61 | Mathematics, general | Mathematics | Generalized Fibonacci sequence | 11D45 | MATHEMATICS | Pillai's problem | Mathematics - Number Theory

Journal Article

12/2018, Pure and applied mathematics, ISBN 1118742087, 725

This volume provides an advanced approach to the extended gibonacci family, which includes Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas,...

Fibonacci numbers | Lucas numbers

Fibonacci numbers | Lucas numbers

eBook

Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 4/2018, Volume 12, Issue 1, pp. 1 - 35

The main purpose of this paper is to construct new families of special numbers with their generating functions. These numbers are related to many well-known...

Integers | Numbers | Generating function | Factorials | Discrete mathematics | Polynomials | Coefficients | Combinatorics | New family | Combinatorial sum | Central factorial numbers | Bernoulli numbers | Binomial coefficients | Euler numbers | Functional equations | Generating functions | Array polynomials | Stirling numbers | Fibonacci numbers | MATHEMATICS, APPLIED | COMBINATORIAL SUMS | Q-BERNOULLI NUMBERS | GENERATING-FUNCTIONS | MATHEMATICS

Integers | Numbers | Generating function | Factorials | Discrete mathematics | Polynomials | Coefficients | Combinatorics | New family | Combinatorial sum | Central factorial numbers | Bernoulli numbers | Binomial coefficients | Euler numbers | Functional equations | Generating functions | Array polynomials | Stirling numbers | Fibonacci numbers | MATHEMATICS, APPLIED | COMBINATORIAL SUMS | Q-BERNOULLI NUMBERS | GENERATING-FUNCTIONS | MATHEMATICS

Journal Article

2010, ISBN 0986630012, xi, 129

Book

Utilitas Mathematica, ISSN 0315-3681, 03/2018, Volume 106, pp. 185 - 199

In this paper, firstly we defined Gaussian dual number and Gaussian dual Fibonacci numbers later, we obtained two-dimensional recurrence relations and some...

Gaussian dual number | Gaussian complex fibonacci number | Gaussian dual fibonacci number | Gaussian integer | Generalized Gaussian dual fibonacci numbers | MATHEMATICS, APPLIED | Gaussian dual Fibonacci number | Generalized Gaussian dual Fibonacci numbers | STATISTICS & PROBABILITY | Gaussian complex Fibonacci number | QUATERNIONS

Gaussian dual number | Gaussian complex fibonacci number | Gaussian dual fibonacci number | Gaussian integer | Generalized Gaussian dual fibonacci numbers | MATHEMATICS, APPLIED | Gaussian dual Fibonacci number | Generalized Gaussian dual Fibonacci numbers | STATISTICS & PROBABILITY | Gaussian complex Fibonacci number | QUATERNIONS

Journal Article

IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP), ISSN 2329-9290, 08/2015, Volume 23, Issue 8, pp. 1273 - 1282

This paper presents a novel high-capacity audio watermarking system to embed data and extract them in a bit-exact manner by changing some of the magnitudes of...

golden ratio | multimedia security | audio watermarking | Fibonacci numbers | Watermarking | Transforms | Auditory system | Audio watermarking | Speech | Robustness | Speech processing | IEEE transactions | DWT | ENGINEERING, ELECTRICAL & ELECTRONIC | ACOUSTICS | TIME-SCALE MODIFICATION | SCHEME | ROBUST | FFT | QUANTIZATION | DELAY | MODULATION

golden ratio | multimedia security | audio watermarking | Fibonacci numbers | Watermarking | Transforms | Auditory system | Audio watermarking | Speech | Robustness | Speech processing | IEEE transactions | DWT | ENGINEERING, ELECTRICAL & ELECTRONIC | ACOUSTICS | TIME-SCALE MODIFICATION | SCHEME | ROBUST | FFT | QUANTIZATION | DELAY | MODULATION

Journal Article

Communications in Algebra, ISSN 0092-7872, 11/2019, Volume 47, Issue 11, pp. 4520 - 4532

In this article, we define the adjacency-Jacobsthal sequence and then we obtain the combinatorial representations and the sums of adjacency-Jacobsthal numbers...

11K31 | 11C20 | 15A15 | matrix | representation | The Adjacency-Jacobsthal sequence | MATHEMATICS | SEQUENCES | MATRICES | DEVECI | Polynomials | Representations | Fibonacci numbers | Combinatorial analysis

11K31 | 11C20 | 15A15 | matrix | representation | The Adjacency-Jacobsthal sequence | MATHEMATICS | SEQUENCES | MATRICES | DEVECI | Polynomials | Representations | Fibonacci numbers | Combinatorial analysis

Journal Article

Journal of Number Theory, ISSN 0022-314X, 02/2020, Volume 207, pp. 156 - 195

For an integer k≥2, let {Fn(k)}n≥2−k be the k–generalized Fibonacci sequence which starts with 0,…,0,1 (a total of k terms) and for which each term afterwards...

Reduction method | Generalized Fibonacci sequence | Linear form in logarithms | Pell equation | FORMS | MATHEMATICS | LOGARITHMS | Student aid | Statistics | Analysis | Student assistance programs | Mathematics | Number Theory

Reduction method | Generalized Fibonacci sequence | Linear form in logarithms | Pell equation | FORMS | MATHEMATICS | LOGARITHMS | Student aid | Statistics | Analysis | Student assistance programs | Mathematics | Number Theory

Journal Article

AIP Conference Proceedings, ISSN 0094-243X, 01/2018, Volume 1926, Issue 1

A. F. Horadam defined complex Fibonacci numbers and found some equalities about these numbers. C. J. Harman described these numbers as Fibonacci numbers real...

Fibonacci numbers

Fibonacci numbers

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 12/2016, Volume 123, Issue 10, pp. 1039 - 1044

There have been many articles in the MONTHLY on quotient sets over the years. We take a first step here into the -adic setting, which we hope will spur further...

Prime numbers | NOTES | Quotients | Fibonacci numbers | MATHEMATICS | INTEGERS | PRIMES | ARTINS CONJECTURE | SETS

Prime numbers | NOTES | Quotients | Fibonacci numbers | MATHEMATICS | INTEGERS | PRIMES | ARTINS CONJECTURE | SETS

Journal Article

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